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Finding the Fourth Proportional to 30,803.40, 46,205.10 and 20,961.90

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Solution

The fourth proportional to 30,803.40, 46,205.10 and 20,961.90 is: 31,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.40 : 46,205.10 = 20,961.90 : x
  2. Step 2: Convert to fraction form
    30,803.40/46,205.10 = 20,961.90/x
  3. Step 3: Cross multiply
    30,803.40x = 46,205.10 × 20,961.90
  4. Step 4: Simplify right side
    30,803.40x = 968,546,685.69
  5. Step 5: Solve for x
    x = 968,546,685.69/30,803.40
  6. Step 6: Final answer
    x = 31,442.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.